CONVERGENCE RESULTS IN A WELL-KNOWN DELAYED PREDATOR-PREY SYSTEM

Authors
BERETTA E KUANG Y
Citation
E. Beretta et Y. Kuang, CONVERGENCE RESULTS IN A WELL-KNOWN DELAYED PREDATOR-PREY SYSTEM, Journal of mathematical analysis and applications, 204(3), 1996, pp. 840-853
Citations number
11
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
204
Issue
3
Year of publication
1996
Pages
840 - 853
Database
ISI
SICI code
0022-247X(1996)204:3<840:CRIAWD>2.0.ZU;2-N
Abstract
In this paper, we provide a detailed and explicit procedure of obtaini ng some regions of attraction for the positive steady state (assumed t o exist) of a well known Lotka-Volterra type predator-prey system with a single discrete delay. Our procedure requires the delay length to b e small. A detailed example is presented. The method used here is to c onstruct a proper Liapunov functional in a restricted region. (C) 1996 Academic Press, Inc.